Pith Number

pith:7LXUZU7O

pith:2018:7LXUZU7OKYTFZCGD2327GBVQF3

not attested not anchored not stored refs pending

Linear Differential Operator with an Involution as a Generator of an Operator Group

Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova

arxiv:1806.04109 v1 · 2018-06-11 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LXUZU7OKYTFZCGD2327GBVQF3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:13:38.495084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faef4cd3ee56265c88c3d6f5f306b02edd9eeb40280a994090c31ae6766ae006

Aliases

arxiv: 1806.04109 · arxiv_version: 1806.04109v1 · doi: 10.48550/arxiv.1806.04109 · pith_short_12: 7LXUZU7OKYTF · pith_short_16: 7LXUZU7OKYTFZCGD · pith_short_8: 7LXUZU7O

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7LXUZU7OKYTFZCGD2327GBVQF3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: faef4cd3ee56265c88c3d6f5f306b02edd9eeb40280a994090c31ae6766ae006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a468b8d43d828f791f78e100fda5127791b3058517b813760d75df5bbb46292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-06-11T17:00:54Z",
    "title_canon_sha256": "d9775c7393df5ca8bb8fbb27df03ef9e44b7ee4d8dcf43233a2a392ff28c1e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04109",
    "kind": "arxiv",
    "version": 1
  }
}